Posted by **Anonymous** on Friday, August 3, 2012 at 9:58pm.

A committee is to be chosen from a group of 11 women and 14 men. How many ways can they select a president, treasurer, and secretary, if the treasurer and secretary must be females? No person can serve in more than one position.

- math -
**Reiny**, Friday, August 3, 2012 at 11:45pm
case 1 -- the president is a man

C(14,1) x C(11,1) x C(10,1)

= 14x11x10 = 1540

case 2 -- the president is a woman

C(11,1) x C(10,1) x C(9,1) = 990

Number of possible committees = 1639

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